Suppose we have two planets with the same mass, but the radius of the second one is twice the size of the first one. How does the free-fall acceleration on the second planet compare to the first planet

Answers

Answer 1

The free-fall acceleration on the second planet is one-fourth the value of the first planet.

Calculation:

Consider the mass of planet A to be, M

               the mass of planet B to be, Mₓ = M

               the radius of planet A to be, R₁

               the radius of planet B to be, R₂

The acceleration due to gravity on planet A's surface is given as:

g = GM/R₁²      - (1)

Similarly, the acceleration due to gravity on planet B's surface is given as:

g' = GM/R₂²                           [where, R₂ = 2R₁]

   = GM/4R₁²    -(2)

From equation 1 & 2, we get:

g/g' = GM/R₁² ÷ GM/4R₁²

g/g' = 4/1

Thus we get,

g' = 1/4 g

Therefore, the free-fall acceleration on the second planet is one-fourth the value of the first planet.

Learn more about free-fall here:

https://brainly.com/question/13299152

#SPJ4


Related Questions

An 850 kg elevator is accelerating upwards at 3.0 m/s2. Calculate the tension in the cable.

Answers

Answer:

10880N

Explanation:

We are given that

Mass of elevator, m=850 kg

Acceleration, [tex]a=3m/s^2[/tex]

[tex]g=9.8m/s^2[/tex]

We have to find the tension in the cable.

We know that

When elevator is accelerating upward then tension in the cable

[tex]T=m(a+g)[/tex]

Using the formula

[tex]T=850(3+9.8)[/tex]

[tex]T=10880N[/tex]

A spring with k = 33.5 N/m has a
1.20 kg mass attached. It is pulled
0.120 m and released. How much
mechanical energy does it have?
(Unit = J)

Answers

Answer:

M.E = 0.241 Joules.

Explanation:

Given the following data;

Spring constant, k = 33.5 N/m

Extension, e = 0.12m

Mass = 1.20kg

To find the mechanical energy (M.E);

Mathematically, mechanical energy is given by this formula;

M.E = ½ke²

Where;

k is the constant of elasticity (spring constant). e is the extension of the string.  

Substituting into the equation, we have;

M.E = ½*33.5*0.12²

M.E = ½*33.5*0.0144

M.E = 0.4824/2

M.E = 0.241 Joules.

You have two lens A and B of focal length +50cm and -50cm respectively. The nature and power of the lenses respectively isa. Concave, -2 D ; Convex, +2 D b. Convex, +2 D; Concave, - 2 D

Answers

Answer:

Concave, +2D

Convex -2D

Explanation:

Power of a lens is the reciprocal of its focal length.

For lens of +50cm = 0.5m

Power of the lens = 1/0.5

Power of the lens = +2Dioptres

Since the focal length is positive, the lens is concave

For the lens of -50cm = -0.5m

Power = 1/-0.5

Power = -2D dioptres

Since the focal length is negative, the lens is convex

plzz answer fast, plzz help mee
Will mark as brainliest !! plz answer it
Plzzz answer with explnation!!!

the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth

b) 1/4 of the radius of earth

c) 1/8 of the radius of earth

Answers

C) 1/8 of the radius of earth. Why? Well, the closer you get to the core of the earth, the stronger the gravitational field (acceleration due to gravity) is. Why? Because of Newton’s law of Gravitation:
Fg = GMm/r^2; as r decreases, Fg increases, and so does g.

Please mark as brainliest thank you!

i’m like kinda bad at physics so ya please help

Answers

Answer:

99 joules.

Explanation:

Let m denotes mass of the object and v denotes velocity.

If mass has units of kilograms and the velocity has units of meters per second then the kinetic energy has units of joules.

Kinetic energy is an energy possessed by a body in motion.

Mass (m) = 99 kg

Velocity (v) = 2 m/s

To find kinetic energy, use the following formula:

Kinetic energy = [tex]\frac{1}{2}mv^2=\frac{1}{2}(99)(2)=99[/tex] joules

How much heat is required to raise the temperature of 2.0 kg of concrete from 10C to 30C? (The specific heat of concrete is 880 j/kg-C.)
A. 22 J
B. 88 J
C. 8800 J
D. 35200 J

Answers

Answer:B

Explanation:

Which of the following Resistors A, B, C or D, would use the least power? Make
your claim, give evidence and explain your reasoning. You may use math to support
your claim.
Please Help.

Answers

i think the answer is D 10.0

READ ALL PLEASE

So I have been giving away points

But now that i have a lot I shall do another points give away yes

Now hurry and add a answer :V

Answers

Answer:

can I have please I will follow u..............


A clock which has a brass pendulum beats second correctly when the temperature of
the room is 30°c. It gains the time 15.55 sec per day when the temperature of the
rooms falls to 10°C. Find the linear expansivity of brass.​

Answers

Answer:

- 0.0481666 °C^-1

Explanation:

Linear expansivity of brass, α

α = (2T - 2T0) / T0.dt

T0 = 30°

dt = change in temperature = 30 - 10 = 20°C

T = 15.55 sec

α = (2*15.55 - 2*30) / 30*20

α = (31.1 - 60) / 600

α = - 28.9 / 600

α = - 0.0481666 °C^-1

If the total force acts in the opposite direction as the cabinet is sliding, the cabinet would

A) slow down
B) speed up
C) remains the same speed
D) slow down, change direction and then speed up going the other way
E) remains the same speed, but changes direction

Answers

D. It will slow down against the acting force . But increase speed once moving the same direction as the force

Let the displacement function of a particle is x(t)=(20t^2-15t+200). Find the total displacement, instantaneous velocity and instantaneous acceleration​

Answers

Answer:

A.) 39.5 m

B.) 0

C.) 60m/s^2

Explanation:

Given that a displacement function of a particle is x(t)=(20t^2-15t+200).

To Find the total displacement,

Reduce everything by dividing them by 5

X(t) = 4t^2 - 3t + 40 ...... (1)

For instantaneous velocity, differentiate x(t). That is,

dy/dt = 60t - 15 ...... (2)

But dy/dt = velocity.

If dy/dt = 0, then

60t - 15 = 0

60t = 15

t = 15/60

t = 0.25s

Substitutes t in equation (1)

Total displacement will be

X(t) = 4(0.25)^2 - 3(0.25) + 40

X(t) = 0.25 - 0.75 + 40

Total displacement = 39.5 m

To calculate instantaneous velocity, substitute t into equation (2)

V = 60 (0.25) - 15

V = 0.

and to find instantaneous acceleration, differentiate dv/dt

dv/dt = 60

Therefore, acceleration = 60 m/s^2

ANSWER THE ALL THE QUESTIONS IN THE FOLLOWING FOR 90 POINTS!

Answers

25

89

105

99

I don't know. I'm sorry

John is hiking and notices a small stream of water flowing down the side of the mountain. What part of the water cycle is John observing?
Question 3 options:

Runoff

Evaporation

Condensation

Precipitation

Answers

Answer:

A runoff

Explanation: A runoff is when frozen water melts so if it falls down a mouantan there probably melting ice hope this helps :} pls give brainlest

John is hiking and notices a small stream of water flowing down the side of the mountain. In this John is experiencing runoff of the water cycle. Thus, the correct option is A.

What is Runoff?

Surface runoff is the flow of water which is occurring on the ground surface when there is excess rainwater, storm water, melt water, or other sources of water, which can no longer sufficiently rapidly infiltrate in the soil of the region.

Runoff occurs in the excessive rainwater and it saturates the ground surface. Rivers and lakes are the results of water runoff. There is some evaporation from the water runoff into the atmosphere however for the most part water in the rivers and lakes returns back to the oceans.


Therefore, the correct option is A.

Learn more about Runoff here:

https://brainly.com/question/2140871

#SPJ6

if a person is 6.25 m away from a 60.0 w speaker, what is the sound level they are hearing?
(treat the speaker as a point source.)

Answers

Answer:

111dB

Explanation:

First, find the intensity of the sound using the formula I = Power / 4 x pi x radius ^2

So

60.0 / (4 x 3.14 (6.25)^2)

= 0.122

Then plug that into the equation to find sound level, which is 10log( I / Io)

Io being (1 x 10^-12)

So

10log(0.122 / 1 x 10^-12)

= 111dB

Hope this helps :)

A 0.15 kg. baseball flies rightward at 15m/s to hit a tennis ball flying at it from

the opposite direction of 22 m/s. The baseball and the tennis ball have a

final speed of 1.2 m/s and 13 m/s respectively, both to the right.

What is the mass of the tennis ball?

(w/solution)

Answers

Let’s use *queue dramatic voice* THE GREAT LAW OF THE CONSERVATION OF MOMENTUM!!!!!

m1v1i + m2v2i = m1v1f + m2v2f

m1v1i - m1v1f = m2(v2f - v2i)

m2 = (m1v1i - m1v1f) / (v2f - v2i)

m2 = [(0.15)(15) - (0.15)(1.2)] / (13 - -22)

Henceforth, my good sire, the mass indeed works out to a fine approximate value of:
m = 0.06 kg

That’s a pretty small tennis ball!

ANSWER QUCIK
PLS THANK YOU

Answers

Electrical energy in the charger and cable

Chemical energy in the battery of the mobile phone

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer: The gravitational force acting on the table.

Explanation:

Please help!!!!!!:>>>>>>

Answers

Answer: 6V

Explanation: parallel circuit, the voltage is the same for each resistor.

Someone Help me please

Answers

Answer:

a) Yes because spiderman isn’t part of the system (the train), so he exerts an external force on the system, causing it to slow. The sign is negative because the train is slowing negative.

b) The train was initially moving, so it had kinetic energy, the energy of movement. There isn’t the same amount anymore because spiderman did work onto the train. Work is defined by the change of kinetic energy of the system, so the train didn’t have the same amount of that type of energy at the end.

I hope this helps! :)

Car manufacturers use radiation for which task? sealing windows drying paint cleaning tires lubricating engines

Answers

Answer: drying paint

Explanation:

From the options that are given in the question, we should note that car manufacturers use radiation for drying paint.

The radiation is vital as it keeps the car cool and also helps in the reduction if heat in the vehicle. The other options such as sealing windows, cleaning tires and lubricating engines aren't true as radiation isn't used for that purpose by the car manufacturers.

Answer:

drying paint

Explanation:

A 2.0kg pendulum swings from point A of a height of 0.10m to a point B of the same height. The heights are relative to the lowerst height. What is the change in gravitational potential energy from A to B?

Answers

Please press “Thanks!” after viewing my answer:
The change in Gravitational Potential Energy (GPE) is actually 0! Think about it:
What is the formula for it?
Well, GPE = mgh.
So, when the height is the same in both cases, we know the gravitational potential energy is the same. Therefore, change in GPE = 0.
Sure, GPE did transform to KE during the swing, but all of that KE transformed back into the original amount of GPE.

Hope this helped! Please press “Thanks!”

A 2.0 kg pendulum swings from point A of height yA = 0.10 m to point B of the same height. The heights are relative to the lowest height.

What is the change in gravitational potential energy from A to B?

Answer: 0 J

What type of wave is this. I can figure it out

Answers

Transverse wave is the correct option


Unlike Electromagnetic waves, Mechanical waves need a to
transfer energy

Answers

yes they transfer waves in order to get energy of mechanical

A 12 kg object speeds up from an initial velocity of 10 m/s north to a final velocity of 15 m/s north. Calculate the change in momentum

Answers

Answer:

60m/s

Explanation:

momentum = Mass × Velocity

Initial Momentum = 12 × 10

= 120

Final Momentum = 12×15

=180

Change in Momentum = 180 - 120

= 60m/s

Answer:

60

Explanation:

formula for change in momentum = F =∆p/∆t

F∆t = ∆p

∆p = m(v - Vo)

∆p = 12(15-10)

=12(5)= 60

PLEASEEE HURRY!!
Can you tell me How the sun is responsible for all of the energy here on Earth?

Answers

Answer:

Explanation:

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays.

Identify the following as
Potential Energy or Kinetic Energy
1. A car in the driveway. Potential energy
2. Matt rolling down a hill. Kinetic energy
3. Katie and Leo kissing.
4. A battery on my desk.
5. The water just before it goes down a waterfall.
6. A lawnmower running.
7. Mrs. Rey yelling at you.
8.A toy
9.A table with a spread of food
10. The kids playing on the bus.

Answers

3. Kinetic energy
4. Potential energy
5. Kinetic energy because it’s moving towards the waterfall otherwise there wouldn’t be a waterfall.
6. Kinetic energy
7. Kinetic energy
8. Potential energy
9. Potential energy
10. Kinetic energy

pls help i’ll give brainliest if you give a correct answer!!

Answers

the answer is south because the air friction is the opposite side of where the plane is going if that makes sense
D.South maybe I hope it’s right

An object’s momentum includes its __________.

Answers

Answer: Momentum can be defined as "mass in motion

Explanation:

Based from the flow chart, what can you generalize about the formation of typhoons? How do typhoons develop?

Answers

Answer: Warm water from the ocean is needed to develop typhoon

Pls Rate this as Brilliant Answer thank you :) keep on learning

Typhoons form when strong winds blow into warm areas of the ocean. These winds pick up moisture and rise, bringing colder air with them. This creates pressure, causing the winds to move quickly. The winds revolve or spin around a central point known as an eye.

What is typhoon ?

A typhoon is a mature tropical cyclone that forms in the Northern Hemisphere between 180° and 100°E. The Northwestern Pacific Basin is the most active tropical cyclone basin on Earth, accounting for nearly one-third of the world's annual tropical cyclones.

The Philippines is just above the equator and faces the western Pacific, with little else to absorb storm energy before it reaches land. Storms are fueled by warm, tropical waters, which produce approximately 20 typhoons per year.

Hurricanes and typhoons can wreak havoc on coastlines and hundreds of miles inland. They can generate winds of up to 155 mph, as well as tornadoes and microbursts.

Thus, Typhoons form when strong winds blow into warm areas of the ocean.

To learn more about typhoon, follow the link;

https://brainly.com/question/1933929

#SPJ5

a load of 600 kg is lifted by a carne up to 60 meters in 6 minutes . calculate it work and power.​

Answers

Explanation:

work=force*distance. force=load/10

___________

work=60*60=3600n

power=work/time(seconds)

Powe required is 1000

Explanation:

-Given: M= 600kg               H: 60

-Time of operation: t = 6 min = 360 seconds

-Work done in lifting boxes: w= mgh (600 x 10 x 60) = 360,000

-Power required: p=[tex]\frac{w}{t} = \frac{360000}{360} = 1000[/tex]

Other Questions
Why doesn't Holden want to/is afraid of growing up? (Catcher in the Rye) Georgie buys a pack of chocolate which has 18 small chocolate bars. She ate three bars in the morning, Later in theday, Georgie's brother ate three fifth of the chocolates bar that were left, what fraction of the chocolate bars is left inthe packet? What is the coordinate point of the linear function 5x+3y=15 At the beginning of the year, Data, a C corporation, had a $45,000 deficit in accumulated earnings and profits. For the current year, Data reported earnings and profits of $15,000. Data distributed $18,000 to its shareholders during the current year. What amount of the distribution is treated as a taxable dividend How can an invasive species cause native species to become threatened or endangered?Invasives are much larger than natives, so they use more space than native species.Invasives can better adapt to environmental changes, so they have fewer selective pressures.Invasives are often better competitors, so native species struggle to find resources.Invasives often live longer, so native species fail to reproduce as often. Simplify 4/9 + 1/3A 5/12B 7/9C 1 1/9D 15/9 The speed of the boat in still water is mph.The speed of a river current is 3 mph. If a boat travels 30 miles downstream in the same time that it takes to travel 20 miles upstream, find the speed of the boat in still water. Why is it important for the dental assistant to be able to recognize the differences between normal and abnormal conditions that appear in the mouth? Read the passage.People have been eating yogurt as a staple health food item for many years. In the 1970s, the popularity of ice cream was rising and so was freezing and production technology. This technology initiated the idea of frozen yogurt as a dessert. Frozen yogurt launched into the market in the 1970s, with hope of a success. However, frozen yogurt was a complete failure due to the taste. Many customers complained that the flavor of frozen yogurt tasted too much like regular yogurt. Therefore, the demand of frozen yogurt slowed at a shocking rate in the 1990s. It was clear that frozen yogurt needed to change its flavor to appeal to more people. If not, frozen yogurt would not exist.In the 2000s, trends changed. All of a sudden, there was demand for frozen yogurt as an alternative to unhealthy desserts, like ice cream or gelato. This is because yogurt is well known to be a great source of calcium and have a low fat content. In comparison, traditional ice cream was a very sweet dessert with a high fat content. This healthier aspect of frozen yogurt lead to a tripled economic growth rate. Due to the increase in popularity, there is now a wide variety of flavors to choose from. Healthier options include strawberry, peach, banana, or raspberry. Unhealthier options include chocolate, cookie, or baked good flavors. Additionally, it is now served in a variety of ways, like soft serve and hard serve, and can be served in either a cup or a cone.Select two details from the passage that support the main ideas that in the 1970s frozen yogurt was a failure, and trends in the 2000s for healthier food increased popularity of frozen yogurt. "Frozen yogurt launched into the market in the 1970s, with hope of a success." . . . "Due to the increase in popularity, there is now a wide variety of flavors to choose from." ". . . frozen yogurt was a complete failure due to the taste." . . . ". . . the demand of frozen yogurt slowed at a shocking rate in the 1990s." "Healthier options include strawberry, peach, banana, or raspberry." . . . "Unhealthier options include chocolate, cookie, or baked good flavors." "Many customers complained that the flavor of frozen yogurt tasted too much like regular yogurt." . . . "This healthier aspect of frozen yogurt lead to a tripled economic growth rate." The organizational patterns of information and the rules that govern their use is called Jonathan is interested in building the centerpiece of his firm's corporate governance, and so hires a ________ that is made up of individuals from both inside and outside the firm. Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.R(x) = 16xC(x) = 12x + 1,424At what number of gidgets sold will the company break-even (the point where revenue equals cost)? If the 95% confidence limits for mean mu turn out to be 6.5, 8.5: Group of answer choices The probability is 0.95 that the interval (6.5, 8.5) contains mu The probability is 0.95 that X falls between 6.5 and 8.5 4 sigma Which ordered pairs are in the solution set of the system of linear inequalities?y > Negative one-halfxy < One-halfx + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded. (5, 2), (3, 1), (4, 2)(5, 2), (3, 1), (4, 3)(5, 2), (3, 1), (4, 2)(5, 2), (3, 1), (4, 2) A streetlight is at the top of an 18ft tall pole. A woman 6 ft tall walks away from the pole at a speed of 4 ft/sec along a straight path. How fast (in ft/sec) is the tip of her shadow moving away from the pole when she is 45 ft from the base of the pole Write the balanced molecular equation for the aqueous reaction of hydroiodic acid (HI) and zinc metal. Can anyone tell me how to solve this with step by step and show workAlso apparently the answers are A and C but I need to know how to get to the answer Write step by step process of making tea. What condition is necessary on earth to see eclipses of stars in binary star systems? Sonkoly 2008. MicroRNAs and immunity: novel players in the regulation of normal immune function and inflammation